Instructor Problem 3: Matlab provided the following answers: a) √j = 0.707 + j0.707 b) √−j = 0.707 - j0.707 c) (√) ¹ = 0.4599+j0 d) cos(j) = 1.5431 e) sin(j) = 0 + j1.1752 For each part using your knowledge of Euler's equation and complex numbers verify that the answers are correct.

Instructor Problem 3: Matlab provided the following answers: a) √j = 0.707 + j0.707 b) √−j = 0.707 - j0.707 c) (√) ¹ = 0.4599+j0 d) cos(j) = 1.5431 e) sin(j) = 0 + j1.1752 For each part using your knowledge of Euler's equation and complex numbers verify that the answers are correct.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

Instructor Problem 3: Matlab provided the following answers:
a) √j = 0.707 + j0.707
b) √−j = 0.707 - j0.707
c) (√) ¹ = 0.4599+j0
d) cos(j) = 1.5431
e) sin(j) = 0 + j1.1752
For each part using your knowledge of Euler's equation and complex numbers verify
that the answers are correct.

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Step 1: Given

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Step 2: a) Proof of √(j) = 0.707+j0.707

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Step 3: b) Proof of √(-j) = 0.707-j0.707

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Step 4: c) Proof of [√(j)]^j = 0.4599+j0

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Step 5: d) Proof of cos(j) = 1.5431

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Step 6: e) Proof of sin(j) = 0+j1.1752

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